标题： 形状共存与超变形在$^{28}$硅中 显示英文标题

标题： Shape coexistence and superdeformation in $^{28}$Si

摘要： 我们利用壳模型和超越平均场的方法研究了不同形变态在 $^{28}$ 硅中的形状共存现象。实验表明， $^{28}$ 硅在类球形基态与激发的长椭球形结构之间表现出形状共存。在 $sd$ 壳中，使用 USDB 相互作用可以很好地描述类球形旋转带。然而，对于长椭球形带，需要对该相互作用进行修改，降低 $1d_{3/2}$ 轨道的单粒子能级。此外，我们还探讨了 $^{28}$ 硅中超形变构型的可能性。 Our calculations, spanning both the $sd$ and $pf$ shells, rule out the existence of a superdeformed $0^+$ bandhead within an excitation energy range of 10-20 MeV. 显示英文摘要

摘要： We study the shape coexistence of differently deformed states within $^{28}$Si using shell-model and beyond-mean-field techniques. Experimentally, $^{28}$Si exhibits shape coexistence between an oblate ground state and an excited prolate structure. The oblate rotational band is described well within the $sd$ shell using the USDB interaction. However, for the prolate band, a modification of this interaction is required, lowering the single-particle energy of the $1d_{3/2}$ orbit. Furthermore, we explore the possibility of a superdeformed configuration in $^{28}$Si. Our calculations, spanning both the $sd$ and $pf$ shells, rule out the existence of a superdeformed $0^+$ bandhead within an excitation energy range of 10-20 MeV.